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KASIMBEYLİ N., KASIMBEYLİ R., Mammadov M.
OPTIMIZATION, vol.65, no.5, pp.937-945, 2016 (SCI-Expanded)
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Science Citation Index Expanded (SCI-EXPANDED), Scopus
Vector optimization, density theorem, nonlinear separation theorem, augmented dual cone, proper efficiency, 90C26, 90C29, 90C30, 90C46, 46N10, PROPER EFFICIENT POINTS, RADIAL EPIDERIVATIVES, DENSITY, RESPECT, SCALARIZATION, PRICES
Anadolu University Affiliated:
The paper presents a generalization of a known density theorem of Arrow, Barankin, and Blackwell for properly efficient points defined as support points of sets with respect to monotonically increasing sublinear functions. This result is shown to hold for nonconvex sets of a partially ordered reflexive Banach space.